If and are the equations of a line and a plane respectively

MATHEMATICS · Single correct · CBSE · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

If r=i^+j^+λ(2i^+j^+4k^)\mathbf{r} = \hat{i} + \hat{j} + \lambda(2\hat{i} + \hat{j} + 4\hat{k}) and r⋅(i^+2j^−k^)=3\mathbf{r} \cdot (\hat{i} + 2\hat{j} - \hat{k}) = 3 are the equations of a line and a plane respectively, then which of the following is incorrect? (1) line is perpendicular to the plane (2) line lies in the plane (3) line is parallel to the plane but does not lie in the plane (4) line cuts the plane obliquely

Related theory

Browse the problem library